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440 lines
13 KiB
440 lines
13 KiB
package snark
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import (
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"bytes"
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"fmt"
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"math/big"
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"strings"
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"testing"
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"time"
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"github.com/arnaucube/go-snark/circuitcompiler"
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"github.com/arnaucube/go-snark/groth16"
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"github.com/arnaucube/go-snark/r1csqap"
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"github.com/stretchr/testify/assert"
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)
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func TestGroth16MinimalFlow(t *testing.T) {
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fmt.Println("testing Groth16 minimal flow")
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// circuit function
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// y = x^3 + x + 5
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code := `
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func main(private s0, public s1):
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s2 = s0 * s0
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s3 = s2 * s0
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s4 = s3 + s0
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s5 = s4 + 5
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equals(s1, s5)
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out = 1 * 1
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`
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fmt.Print("\ncode of the circuit:")
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// parse the code
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parser := circuitcompiler.NewParser(strings.NewReader(code))
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circuit, err := parser.Parse()
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assert.Nil(t, err)
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b3 := big.NewInt(int64(3))
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privateInputs := []*big.Int{b3}
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b35 := big.NewInt(int64(35))
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publicSignals := []*big.Int{b35}
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// wittness
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w, err := circuit.CalculateWitness(privateInputs, publicSignals)
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assert.Nil(t, err)
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// code to R1CS
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fmt.Println("\ngenerating R1CS from code")
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a, b, c := circuit.GenerateR1CS()
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fmt.Println("\nR1CS:")
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fmt.Println("a:", a)
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fmt.Println("b:", b)
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fmt.Println("c:", c)
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// R1CS to QAP
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// TODO zxQAP is not used and is an old impl, TODO remove
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alphas, betas, gammas, _ := Utils.PF.R1CSToQAP(a, b, c)
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fmt.Println("qap")
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assert.Equal(t, 8, len(alphas))
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assert.Equal(t, 8, len(alphas))
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assert.Equal(t, 8, len(alphas))
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assert.True(t, !bytes.Equal(alphas[1][1].Bytes(), big.NewInt(int64(0)).Bytes()))
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ax, bx, cx, px := Utils.PF.CombinePolynomials(w, alphas, betas, gammas)
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assert.Equal(t, 7, len(ax))
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assert.Equal(t, 7, len(bx))
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assert.Equal(t, 7, len(cx))
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assert.Equal(t, 13, len(px))
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// ---
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// from here is the GROTH16
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// ---
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// calculate trusted setup
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fmt.Println("groth")
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setup, err := groth16.GenerateTrustedSetup(len(w), *circuit, alphas, betas, gammas)
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assert.Nil(t, err)
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fmt.Println("\nt:", setup.Toxic.T)
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hx := Utils.PF.DivisorPolynomial(px, setup.Pk.Z)
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div, rem := Utils.PF.Div(px, setup.Pk.Z)
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assert.Equal(t, hx, div)
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assert.Equal(t, rem, r1csqap.ArrayOfBigZeros(6))
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// hx==px/zx so px==hx*zx
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assert.Equal(t, px, Utils.PF.Mul(hx, setup.Pk.Z))
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// check length of polynomials H(x) and Z(x)
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assert.Equal(t, len(hx), len(px)-len(setup.Pk.Z)+1)
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proof, err := groth16.GenerateProofs(*circuit, setup.Pk, w, px)
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assert.Nil(t, err)
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// fmt.Println("\n proofs:")
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// fmt.Println(proof)
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// fmt.Println("public signals:", proof.PublicSignals)
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fmt.Println("\nsignals:", circuit.Signals)
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fmt.Println("witness:", w)
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b35Verif := big.NewInt(int64(35))
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publicSignalsVerif := []*big.Int{b35Verif}
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before := time.Now()
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assert.True(t, groth16.VerifyProof(setup.Vk, proof, publicSignalsVerif, true))
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fmt.Println("verify proof time elapsed:", time.Since(before))
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// check that with another public input the verification returns false
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bOtherWrongPublic := big.NewInt(int64(34))
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wrongPublicSignalsVerif := []*big.Int{bOtherWrongPublic}
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assert.True(t, !groth16.VerifyProof(setup.Vk, proof, wrongPublicSignalsVerif, false))
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}
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func TestZkFromFlatCircuitCode(t *testing.T) {
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// compile circuit and get the R1CS
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// circuit function
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// y = x^3 + x + 5
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code := `
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func exp3(private a):
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b = a * a
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c = a * b
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return c
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func sum(private a, private b):
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c = a + b
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return c
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func main(private s0, public s1):
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s3 = exp3(s0)
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s4 = sum(s3, s0)
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s5 = s4 + 5
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equals(s1, s5)
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out = 1 * 1
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`
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// the same code without the functions calling, all in one func
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// code := `
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// func test(private s0, public s1):
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// s2 = s0 * s0
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// s3 = s2 * s0
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// s4 = s3 + s0
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// s5 = s4 + 5
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// equals(s1, s5)
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// out = 1 * 1
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// `
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fmt.Print("\ncode of the circuit:")
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fmt.Println(code)
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// parse the code
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parser := circuitcompiler.NewParser(strings.NewReader(code))
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circuit, err := parser.Parse()
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assert.Nil(t, err)
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// fmt.Println("\ncircuit data:", circuit)
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// circuitJson, _ := json.Marshal(circuit)
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// fmt.Println("circuit:", string(circuitJson))
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b3 := big.NewInt(int64(3))
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privateInputs := []*big.Int{b3}
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b35 := big.NewInt(int64(35))
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publicSignals := []*big.Int{b35}
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// wittness
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w, err := circuit.CalculateWitness(privateInputs, publicSignals)
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assert.Nil(t, err)
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// code to R1CS
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fmt.Println("\ngenerating R1CS from code")
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a, b, c := circuit.GenerateR1CS()
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fmt.Println("\nR1CS:")
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fmt.Println("a:", a)
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fmt.Println("b:", b)
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fmt.Println("c:", c)
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// R1CS to QAP
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// TODO zxQAP is not used and is an old impl, TODO remove
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alphas, betas, gammas, zxQAP := Utils.PF.R1CSToQAP(a, b, c)
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fmt.Println("qap")
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assert.Equal(t, 8, len(alphas))
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assert.Equal(t, 8, len(alphas))
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assert.Equal(t, 8, len(alphas))
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assert.Equal(t, 7, len(zxQAP))
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assert.True(t, !bytes.Equal(alphas[1][1].Bytes(), big.NewInt(int64(0)).Bytes()))
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ax, bx, cx, px := Utils.PF.CombinePolynomials(w, alphas, betas, gammas)
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assert.Equal(t, 7, len(ax))
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assert.Equal(t, 7, len(bx))
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assert.Equal(t, 7, len(cx))
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assert.Equal(t, 13, len(px))
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hxQAP := Utils.PF.DivisorPolynomial(px, zxQAP)
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assert.Equal(t, 7, len(hxQAP))
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// hx==px/zx so px==hx*zx
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assert.Equal(t, px, Utils.PF.Mul(hxQAP, zxQAP))
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// p(x) = a(x) * b(x) - c(x) == h(x) * z(x)
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abc := Utils.PF.Sub(Utils.PF.Mul(ax, bx), cx)
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assert.Equal(t, abc, px)
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hzQAP := Utils.PF.Mul(hxQAP, zxQAP)
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assert.Equal(t, abc, hzQAP)
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div, rem := Utils.PF.Div(px, zxQAP)
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assert.Equal(t, hxQAP, div)
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assert.Equal(t, rem, r1csqap.ArrayOfBigZeros(6))
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// calculate trusted setup
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setup, err := GenerateTrustedSetup(len(w), *circuit, alphas, betas, gammas)
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assert.Nil(t, err)
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fmt.Println("\nt:", setup.Toxic.T)
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// zx and setup.Pk.Z should be the same (currently not, the correct one is the calculation used inside GenerateTrustedSetup function), the calculation is repeated. TODO avoid repeating calculation
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assert.Equal(t, zxQAP, setup.Pk.Z)
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hx := Utils.PF.DivisorPolynomial(px, setup.Pk.Z)
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assert.Equal(t, hx, hxQAP)
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// assert.Equal(t, hxQAP, hx)
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div, rem = Utils.PF.Div(px, setup.Pk.Z)
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assert.Equal(t, hx, div)
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assert.Equal(t, rem, r1csqap.ArrayOfBigZeros(6))
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assert.Equal(t, px, Utils.PF.Mul(hxQAP, zxQAP))
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// hx==px/zx so px==hx*zx
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assert.Equal(t, px, Utils.PF.Mul(hx, setup.Pk.Z))
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// check length of polynomials H(x) and Z(x)
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assert.Equal(t, len(hx), len(px)-len(setup.Pk.Z)+1)
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assert.Equal(t, len(hxQAP), len(px)-len(zxQAP)+1)
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proof, err := GenerateProofs(*circuit, setup.Pk, w, px)
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assert.Nil(t, err)
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// fmt.Println("\n proofs:")
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// fmt.Println(proof)
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// fmt.Println("public signals:", proof.PublicSignals)
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fmt.Println("\nsignals:", circuit.Signals)
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fmt.Println("witness:", w)
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b35Verif := big.NewInt(int64(35))
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publicSignalsVerif := []*big.Int{b35Verif}
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before := time.Now()
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assert.True(t, VerifyProof(setup.Vk, proof, publicSignalsVerif, true))
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fmt.Println("verify proof time elapsed:", time.Since(before))
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// check that with another public input the verification returns false
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bOtherWrongPublic := big.NewInt(int64(34))
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wrongPublicSignalsVerif := []*big.Int{bOtherWrongPublic}
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assert.True(t, !VerifyProof(setup.Vk, proof, wrongPublicSignalsVerif, false))
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}
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func TestZkMultiplication(t *testing.T) {
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code := `
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func main(private a, private b, public c):
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d = a * b
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equals(c, d)
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out = 1 * 1
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`
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fmt.Println("code", code)
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// parse the code
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parser := circuitcompiler.NewParser(strings.NewReader(code))
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circuit, err := parser.Parse()
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assert.Nil(t, err)
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b3 := big.NewInt(int64(3))
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b4 := big.NewInt(int64(4))
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privateInputs := []*big.Int{b3, b4}
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b12 := big.NewInt(int64(12))
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publicSignals := []*big.Int{b12}
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// wittness
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w, err := circuit.CalculateWitness(privateInputs, publicSignals)
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assert.Nil(t, err)
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// code to R1CS
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fmt.Println("\ngenerating R1CS from code")
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a, b, c := circuit.GenerateR1CS()
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fmt.Println("\nR1CS:")
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fmt.Println("a:", a)
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fmt.Println("b:", b)
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fmt.Println("c:", c)
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// R1CS to QAP
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// TODO zxQAP is not used and is an old impl. TODO remove
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alphas, betas, gammas, zxQAP := Utils.PF.R1CSToQAP(a, b, c)
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assert.Equal(t, 6, len(alphas))
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assert.Equal(t, 6, len(betas))
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assert.Equal(t, 6, len(betas))
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assert.Equal(t, 5, len(zxQAP))
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assert.True(t, !bytes.Equal(alphas[1][1].Bytes(), big.NewInt(int64(0)).Bytes()))
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ax, bx, cx, px := Utils.PF.CombinePolynomials(w, alphas, betas, gammas)
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assert.Equal(t, 4, len(ax))
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assert.Equal(t, 4, len(bx))
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assert.Equal(t, 4, len(cx))
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assert.Equal(t, 7, len(px))
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hxQAP := Utils.PF.DivisorPolynomial(px, zxQAP)
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assert.Equal(t, 3, len(hxQAP))
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// hx==px/zx so px==hx*zx
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assert.Equal(t, px, Utils.PF.Mul(hxQAP, zxQAP))
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// p(x) = a(x) * b(x) - c(x) == h(x) * z(x)
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abc := Utils.PF.Sub(Utils.PF.Mul(ax, bx), cx)
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assert.Equal(t, abc, px)
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hzQAP := Utils.PF.Mul(hxQAP, zxQAP)
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assert.Equal(t, abc, hzQAP)
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div, rem := Utils.PF.Div(px, zxQAP)
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assert.Equal(t, hxQAP, div)
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assert.Equal(t, rem, r1csqap.ArrayOfBigZeros(4))
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// calculate trusted setup
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setup, err := GenerateTrustedSetup(len(w), *circuit, alphas, betas, gammas)
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assert.Nil(t, err)
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// fmt.Println("\nt:", setup.Toxic.T)
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// zx and setup.Pk.Z should be the same (currently not, the correct one is the calculation used inside GenerateTrustedSetup function), the calculation is repeated. TODO avoid repeating calculation
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assert.Equal(t, zxQAP, setup.Pk.Z)
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hx := Utils.PF.DivisorPolynomial(px, setup.Pk.Z)
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assert.Equal(t, 3, len(hx))
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assert.Equal(t, hx, hxQAP)
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div, rem = Utils.PF.Div(px, setup.Pk.Z)
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assert.Equal(t, hx, div)
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assert.Equal(t, rem, r1csqap.ArrayOfBigZeros(4))
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assert.Equal(t, px, Utils.PF.Mul(hxQAP, zxQAP))
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// hx==px/zx so px==hx*zx
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assert.Equal(t, px, Utils.PF.Mul(hx, setup.Pk.Z))
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// check length of polynomials H(x) and Z(x)
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assert.Equal(t, len(hx), len(px)-len(setup.Pk.Z)+1)
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assert.Equal(t, len(hxQAP), len(px)-len(zxQAP)+1)
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proof, err := GenerateProofs(*circuit, setup.Pk, w, px)
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assert.Nil(t, err)
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// fmt.Println("\n proofs:")
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// fmt.Println(proof)
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// fmt.Println("public signals:", proof.PublicSignals)
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fmt.Println("\n", circuit.Signals)
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fmt.Println("witness", w)
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b12Verif := big.NewInt(int64(12))
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publicSignalsVerif := []*big.Int{b12Verif}
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before := time.Now()
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assert.True(t, VerifyProof(setup.Vk, proof, publicSignalsVerif, true))
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fmt.Println("verify proof time elapsed:", time.Since(before))
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// check that with another public input the verification returns false
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bOtherWrongPublic := big.NewInt(int64(11))
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wrongPublicSignalsVerif := []*big.Int{bOtherWrongPublic}
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assert.True(t, !VerifyProof(setup.Vk, proof, wrongPublicSignalsVerif, false))
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}
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func TestMinimalFlow(t *testing.T) {
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// circuit function
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// y = x^3 + x + 5
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code := `
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func main(private s0, public s1):
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s2 = s0 * s0
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s3 = s2 * s0
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s4 = s3 + s0
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s5 = s4 + 5
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equals(s1, s5)
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out = 1 * 1
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`
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fmt.Print("\ncode of the circuit:")
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fmt.Println(code)
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// parse the code
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parser := circuitcompiler.NewParser(strings.NewReader(code))
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circuit, err := parser.Parse()
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assert.Nil(t, err)
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b3 := big.NewInt(int64(3))
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privateInputs := []*big.Int{b3}
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b35 := big.NewInt(int64(35))
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publicSignals := []*big.Int{b35}
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// wittness
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w, err := circuit.CalculateWitness(privateInputs, publicSignals)
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assert.Nil(t, err)
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// code to R1CS
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fmt.Println("\ngenerating R1CS from code")
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a, b, c := circuit.GenerateR1CS()
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fmt.Println("\nR1CS:")
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fmt.Println("a:", a)
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fmt.Println("b:", b)
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fmt.Println("c:", c)
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// R1CS to QAP
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// TODO zxQAP is not used and is an old impl, TODO remove
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alphas, betas, gammas, _ := Utils.PF.R1CSToQAP(a, b, c)
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fmt.Println("qap")
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assert.Equal(t, 8, len(alphas))
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assert.Equal(t, 8, len(alphas))
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assert.Equal(t, 8, len(alphas))
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assert.True(t, !bytes.Equal(alphas[1][1].Bytes(), big.NewInt(int64(0)).Bytes()))
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ax, bx, cx, px := Utils.PF.CombinePolynomials(w, alphas, betas, gammas)
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assert.Equal(t, 7, len(ax))
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assert.Equal(t, 7, len(bx))
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assert.Equal(t, 7, len(cx))
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assert.Equal(t, 13, len(px))
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// calculate trusted setup
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setup, err := GenerateTrustedSetup(len(w), *circuit, alphas, betas, gammas)
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assert.Nil(t, err)
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fmt.Println("\nt:", setup.Toxic.T)
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hx := Utils.PF.DivisorPolynomial(px, setup.Pk.Z)
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div, rem := Utils.PF.Div(px, setup.Pk.Z)
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assert.Equal(t, hx, div)
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assert.Equal(t, rem, r1csqap.ArrayOfBigZeros(6))
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// hx==px/zx so px==hx*zx
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assert.Equal(t, px, Utils.PF.Mul(hx, setup.Pk.Z))
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// check length of polynomials H(x) and Z(x)
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assert.Equal(t, len(hx), len(px)-len(setup.Pk.Z)+1)
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proof, err := GenerateProofs(*circuit, setup.Pk, w, px)
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assert.Nil(t, err)
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// fmt.Println("\n proofs:")
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// fmt.Println(proof)
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// fmt.Println("public signals:", proof.PublicSignals)
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fmt.Println("\nsignals:", circuit.Signals)
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fmt.Println("witness:", w)
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b35Verif := big.NewInt(int64(35))
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publicSignalsVerif := []*big.Int{b35Verif}
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before := time.Now()
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assert.True(t, VerifyProof(setup.Vk, proof, publicSignalsVerif, true))
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fmt.Println("verify proof time elapsed:", time.Since(before))
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// check that with another public input the verification returns false
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bOtherWrongPublic := big.NewInt(int64(34))
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wrongPublicSignalsVerif := []*big.Int{bOtherWrongPublic}
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assert.True(t, !VerifyProof(setup.Vk, proof, wrongPublicSignalsVerif, false))
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}
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